References
- A. Dasdemir, On the Pell, Pell-Lucas and Modified Pell Numbers By Matrix Method, Applied Mathematical Sciences, Vol. 5, no. 64, (2011), 3173-3181.
- A. F. Horadam, Applications of Modified Pell Numbers to Representations, Ulam Quaterly, Volume 3, Number 1, (1994).
- A. F. Horadam, Basic Properties of a Certain Generalized Sequence of Numbers, The Fibonacci Quarterly, Vol. 3 (3),(1965), 161-176.
- B. Demir, O. Koruoglu, R. Sahin, Conjugacy Classes of Extended Generalized Hecke Groups. Rev. Un. Mat. Argentina 57 , no. 1, (2016), 49-56.
- C. E. Serkland, The Pell sequence and some generalizations, Master'sThesis, San Jose State Univ., Aug. 1972.
- C. L. May, The real genus of groups of odd order, Rocky Mountain J. Math. 37 (2007), 1251-1269. https://doi.org/10.1216/rmjm/1187453109
- D. Singerman, PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces, Proc. Edinburgh Math. Soc. (2), 30 , Groups St. Andrews 1985., (1987), 143-151.
- E. G. Karpuz, A. S. Cevik, Grobner-Shirshov bases for extended modular, extended Hecke, and Picard groups, Russian version appears in Mat. Zametki 92, no. 5, 699-706 (2012). Math. Notes 92 , no. 5-6, (2012), 636-642.
- E. G. Karpuz, A. S. Cevik, Some decision problems for extended modular groups, Southeast Asian Bull. Math. 35 , no. 5, (2011), 793-804,.
- G. A. Jones, J. S. Thornton, Automorphisms and Congruence Subgroups of the Extended Modular Group, Journal of the London Mathematical Society, Vol. s2-34, Issue 1, (1986), 26-40. https://doi.org/10.1112/jlms/s2-34.1.26
- J. Ercolano, Matrix generators of Pell sequences, Fibonacci Quart. ,No. 1, (1979), 71-77.
- J. Lehner, Uniqueness of a class of Fuchsian groups, III. J. Math. Surveys, 8, A.M.S. Providence, R.L. (1964).
- K. Calta and T. A. Schmidt, Infinitely many lattice surfaces with special pseudo-Anosov maps, J. Mod. Dyn. 7, No. 2, (2013), 239-254. https://doi.org/10.3934/jmd.2013.7.239
- K. Calta and T. A. Schmidt, Continued fractions for a class of triangle groups, J. Aust. Math. Soc. 93, No. 1-2, (2012), 21-42 . https://doi.org/10.1017/S1446788712000651
- M. Bicknell, A primer on the Pell sequence and related sequences, Fibonacci Quart. 13, no. 4, (1975), 345-349, .
- N.Y. Ozgur, Generalizations of Fibonacci and Lucas sequences, Note di Matematica 21, n. 1, 2002, (2002), 113-125.
- O. Koruoglu and R. Sahin, Generalized Fibonacci sequences related to the extended Hecke groups and an application to the extended modular group. Turkish J. Math. 34 , no. 3, (2010), 325-332.
- P. Catarino, On Some Identities and Generating Functions for k- Pell Numbers, Int. Journal of Math. Analysis, Vol. 7, no. 38, (2013,) 1877-1884. https://doi.org/10.12988/ijma.2013.35131
- Q. Mushtaq, A. Razaq, Homomorphic images of circuits in PSL(2,Z)-space, Bull. Malays. Math. Sci. Soc. 40 , no. 3, (2017), 1115-1133. https://doi.org/10.1007/s40840-016-0357-8
- Q. Mushtaq, U. Hayat, Pell numbers, Pell-Lucas numbers and modular group, Algebra Colloquium 14(1), (2007), 97-102. https://doi.org/10.1142/S1005386707000107
- Q. Mushtaq, U. Hayat, Horadam generalized Fibonacci numbers and the modular group Indian Journal of Pure and Applied Mathematics 38(5), (2007).
- R. S. Kulkarni, An arithmetic-geometric method in the study of the subgroups of the modular group, Amer. J. Math., 113 ,(1991), pp.1053-1133. https://doi.org/10.2307/2374900
- R. Sahin, S. Ikikardes O. Koruoglu, On the power subgroups of the extended modular group, Turkish J. Math., 28, (2004), 143-151.
- S.H. Jafari-Petroudia, B. Pirouzb, On some properties of (k,h)-Pell sequence and (k,h)-Pell-Lucas ssequence, Int. J. Adv. Appl. Math. and Mech. 3(1), (2015), 98-101.
- S. Ikikardes, Z. S. Demircioglu, R. Sahin, Generalized Pell sequences in some principal congruence subgroups of the Hecke groups, Math. Rep. (Bucur.) 18(68), no. 1, (2016), 129-136.
- S. Ikikardes, R. Sahin, Some results on O*-groups, Rev. Un. Mat. Argentina 53, no. 2, (2012), 25-30.
- W.P. Hooper, Grid graphs and lattice surfaces, Int. Math. Res. Not., no. 12, IMRN 2013, 2657-2698. https://doi.org/10.1093/imrn/rns124